Riesz function
id:
riesz-function-183-18656781
title:
Riesz function
text:
In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series
- R i e s z = ∑ k = 1 ∞ k − 1 x k! ζ = x ∑ n = 1 ∞ μ n 2 exp . If we set F = 1 2 R i e s z we may define it in terms of the coefficients of the Laurent series development of the hyperbolic cotangent around zero. If
- x 2 coth x 2 = ∑ n = 0 ∞ c n x n = 1 + 1 12 x 2 − 1 720 x 4 + ⋯ then F may be defined as
- F = ∑ k = 1 ∞ x k c 2 k! = 12
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical function
original url:
https://en.wikipedia.org/wiki/Riesz_function
date created:
2005-02-05T21:22:55Z
date modified:
2024-09-07T04:51:41Z
main entity:
{"identifier":"Q7333165","url":"https://www.wikidata.org/entity/Q7333165"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/en/9/96/Riesz50.png","width":756,"height":756}
fields total:
13
integrity:
16